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2142525240 = 233255951459
BaseRepresentation
bin111111110110100…
…0101011100111000
312112022112120002200
41333231011130320
513341441301430
6552333430200
7104044110162
oct17755053470
95468476080
102142525240
119aa443a19
124b963b360
13281b59c1b
14164799932
15c8167460
hex7fb45738

2142525240 has 48 divisors (see below), whose sum is σ = 6963208200. Its totient is φ = 571339968.

The previous prime is 2142525211. The next prime is 2142525241. The reversal of 2142525240 is 425252412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142525241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2975370 + ... + 2976089.

Almost surely, 22142525240 is an apocalyptic number.

2142525240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142525240 is an abundant number, since it is smaller than the sum of its proper divisors (4820682960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2142525240 is a wasteful number, since it uses less digits than its factorization.

2142525240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5951476 (or 5951469 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 2142525240 is about 46287.4198892096. The cubic root of 2142525240 is about 1289.1654237643.

Adding to 2142525240 its reverse (425252412), we get a palindrome (2567777652).

It can be divided in two parts, 21425 and 25240, that added together give a triangular number (46665 = T305).

The spelling of 2142525240 in words is "two billion, one hundred forty-two million, five hundred twenty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 5951459 11902918 17854377 23805836 29757295 35708754 47611672 53563131 59514590 71417508 89271885 107126262 119029180 142835016 178543770 214252524 238058360 267815655 357087540 428505048 535631310 714175080 1071262620 2142525240